Finding the Fourth Proportional to 1,648.69, 2,277.54 and 1,280.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.69 : 2,277.54 = 1,280.41 : x
2. Step 2: Convert to fraction form
   1,648.69/2,277.54 = 1,280.41/x
3. Step 3: Cross multiply
   1,648.69x = 2,277.54 × 1,280.41
4. Step 4: Simplify right side
   1,648.69x = 2,916,184.99
5. Step 5: Solve for x
   x = 2,916,184.99/1,648.69
6. Step 6: Final answer
   x = 1,768.79